Similar Figures

Front

What are similar figures?

Back

Similar figures are shapes that have the same shape but may differ in size. Their corresponding angles are equal, and the lengths of their corresponding sides are proportional.

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape, which means their corresponding angles are equal and the ratios of the lengths of their corresponding sides are constant.

Front

How do you find the missing side of similar figures?

Back

To find the missing side of similar figures, set up a proportion using the lengths of the corresponding sides of the figures.

Front

If two triangles are similar, what can you say about their angles?

Back

If two triangles are similar, their corresponding angles are equal.

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 4 cm and side DE is 8 cm, what is the ratio of their sides?

Back

The ratio of their sides is 1:2.

Front

What is a proportion in the context of similar figures?

Back

A proportion is an equation that states that two ratios are equal, often used to compare the lengths of corresponding sides of similar figures.

Front

If the sides of two similar rectangles are in the ratio 3:5, what is the ratio of their areas?

Back

The ratio of their areas is 3²:5², which simplifies to 9:25.

Front

How can you determine if two figures are similar using their side lengths?

Back

You can determine if two figures are similar by checking if the ratios of their corresponding side lengths are equal.

Front

What is the scale factor in similar figures?

Back

The scale factor is the ratio of the lengths of two corresponding sides of similar figures.

Front

If a smaller triangle has sides of 2 cm, 3 cm, and 4 cm, and is similar to a larger triangle, what could be the sides of the larger triangle if the scale factor is 3?

Back

The sides of the larger triangle would be 6 cm, 9 cm, and 12 cm.